Coefficients bounds on a certain class of multivalent analytic functions / Laxmipriya Parida and Ashok Kumar Sahoo
In the present work a sub-class Rbp,n (a1,c1,S,T) of f∈Ap(n) is defined by using a linear operator Lp (a1,c1) and obtained sufficient condition in terms of the coefficients of f∈Ap(n) to be a member of this class. Furthermore, the Fekete-Szego problem is completely solved and found that the functio...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Unit Penerbitan, UiTM Kelantan
2022
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| Subjects: | |
| Online Access: | https://ir.uitm.edu.my/id/eprint/72575/1/72575.pdf https://ir.uitm.edu.my/id/eprint/72575/ https://jmcs.com.my/ |
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| Summary: | In the present work a sub-class Rbp,n (a1,c1,S,T) of f∈Ap(n) is defined by using a linear operator Lp (a1,c1) and obtained sufficient condition in terms of the coefficients of f∈Ap(n) to be a member of this class. Furthermore, the Fekete-Szego problem is completely solved and found that the functional |ap+3ap+1-a2p+2 | is bounded. Finally, the sharpness of the associated estimates is also studied. |
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